2. Find the composite function f g for the functions below and describe its domain. f(x) g(x)

Q: The function h(x) = (x + 4)° can be expressed in the form f(9(x)) where f(x) x°, and g(x) is defined…

A: Given, hx = x+45  and  fgx = hx fx = x5 We have to find the function gx.

Q: The function h(x) = 1 can be expressed in the form f(g(x)) where g(x) = (x – 6) and х — 6 f(x) is…

A: Givenh(x)=1x-6h(x)=f(g(x))⇒f(g(x))=1x-6replace g(x) by x-6⇒f(x-6)=1x-6

Q: 10. If the domain of f(x) is (–∞0,6] and the domain of g(x) is (–9,00), then what is the domain of…

A:

Q: The function h(x) = (x + 8) can be expressed in the form f(g(x)), where f(x) = x, and g(x) is…

A:

Q: 1 If f(x) = and g(x) =-, 2x +1 1 find f (g(x)) and its domain. - 2

A: Composite function :  A composite function is created when one function is substituted into another…

Q: Let H(x) = f(x) - (x²+5) where f is the function described by its graph below. 3 2 1 0 What is H'…

A:

Q: 4. Consider the function 1/3 V3 + x f (x) X – 1 а. Find the domain of f.

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: Find the composite function f •g for the functions below, its domain, and its value at x = 2. x3 3.…

A: The solution are next step

Q: snip

A: We have, f∘gx=fgx Let us consider, fx=1x ;  gx=x Then we get, f∘gx=fgx=fx=1x

Q: The function h(x) (x + 5)° can be expressed in the form f(g(x)), where f(x) = x°, and g(x) is…

A:

Q: 3. Consider f(x) = Vx and g(x) = x3 + 2, construct the following function. g(f(x)) f(x) g-'(x)

A:

Q: 2, if x 0 Evaluate the piecewise function at the indicated values from the domain: f(x) = at x=-8…

A:

Q: 3. Find the local extreme points of the following function: f (x) = x3 – f(x) = x³ x² + 2x + 1

A: Differentiating with respect to x, we get Now solving the first derivative by setting it to zero,…

Q: The function g(x) is defined below. Which of the following statements is true?

A: Definition used – The Y-intercept of function – Y-intercept of function can be found by…

Q: 17) Find functions f and g so that f •g = H x - 2 H(x) = 3

A:

Q: The function h(æ) can be expressed in the form f(g(æ)), - %3D x+7 defined as: f(x) =

A: Given: - The function h(x)=1x+7 can be expressed in the form f(g(x)),where g(x)=x+7 To find: - The…

Q: Consider the function f given below. x-81 f(x) = x+9 a) For what x-values(s) is this function not…

A:

Q: Find the composite function of g(f(x)) given the two functions f(x)=5x-8 and g(x)= 7-4x

A:

Q: 9. Given the function V1-x x1 find f(-8), f(0), ƒ(10), and draw the graph of f(x).

A:

Q: 1) Find the domain of the real-valued function given below 3 f(x) = VT – 2

A: Given that: f(x)=x-3x-2

Q: 4) Given the functions below, evaluate ((f – g) o h) (2). f (x) = 2x g(x) = 3x h(x) = x² +1

A:

Q: 2: If f(x) = and g(x) = find the Domain and Range of the function (f• g)x x+2

A:

Q: The function h(x) = (x + 9)ʻ can be expressed in the form f(g(x)) where f(x) = x', and g(x) is %3D…

A: From the given data, we can write h(x) = f(g(x))

Q: 1 The function h(x) can be expressed in the form 4 f(g(x)) where g(x) (x – 4) and f(x) is defined…

A: We have to find f(x).

Q: Find f°g and the domain of the composite function. f(x) = |x], g(x)=x+3

A:

Q: 5. Explain how to transform the graph of the function f((x) = x to obtain the graph of the related…

A: 5.  Given f(x) = x2.....(1)g(x) = -2 f(x+1)-3  .....(2)from (1) f(x+1)=(x+1)2 ∴g(x) = -2(x+1)2-3 To…

Q: 1. Determine the range and the domain of f(x) = 1

A: Solution :  To find the range and domain of the given function is   f(x) = 1/(x^2 + 1 )

Q: f(x) is a differentaible function. g(x)=[f(x)]^2. If g'(x)/f'(x)=e^x for all x, then what is the…

A: Please see the explanation below

Q: 1. Write a function of x, f(x), such that the following graph represents y=f(x).

A: Here we need to find a function for given graph in the question. According to the definition of…

Q: Make the composition (f o g) (x) with the function f (x) = x ^ 2 + 2 -2 and g (x) = √x

A:

Q: Find possible choices for outer and inner functions ƒ and g such that the given function h equals ƒ…

A:

Q: Find functions f and g so that  h(x)=(f•g)(x) for h(x)=1/x^3-7

A:

Q: he functions f and g are defined as follows. 3 2 f(x) =x+4x+8 and g(x) = 2. 7

A: Given,        The functions f and g are defined as follows :         fx=x2+4x+8  and  gx=3x2-7

Q: 2. State the domain of the function f and sketch the graph. a) f(x) = ln(x – 1) + 3 b) f(x) = 2log…

A: Domain of a function is the possible inputs for the function where the function is defined. So to…

Q: 11 Consider the function, f (x) 2x 1 Use the above function to complete the following table. f(x) -1…

A: Explanation of the answer is as follows

Q: b. Suppose the function h is defined as h(x) = 3f(x). Determine the domain and range of h.

A: b. Given that  h(x)=3f(x) Domain of f is [0,4] and range [0,2]

Q: 39. Let f(x) = 2x3 - 4. Find a function y = g(x) so that (f o g)(x) =x+2.

A: We use the definition of composition of functions to find y= g(x).

Q: 1. The function h(x) can be expressed in the form f(g(x)) where g(x) = (x - 1) and -1 f(r) is…

A: We have given

Q: 16) Find a function f that satisfies the following conditions: f'(x) = 2x-2 +3x-1 -1, f(1) = 0 %3D

A:

Q: 2. Let f(x) be the following piecewise-defined function -x3 – 6, x 2 (a) Sketch the graph of f(x).…

A: Definition used –           Piecewise function –  A piecewise function is a function in which more…

Q: The function h(x) = (x + 6)° can be expressed in the form f(g(x)), where f(x) z, and g(x) is defined…

A: Consider the function hx=x+65 Let fx=x5, then fgx=gx5 Here, the objective is to find the function gx

Q: What is unusual about the domain of the composite function f ◦ g for the functions f (x) = x1/2 and…

A:

Q: 1 The function h(x): can be expressed in the form f(g(x)) where g(x) = (x – 6) and - 6 f(x) is…

A:

Q: .1.Find the natural domain and range of the function f (x)=

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: The function h(x) = (x + 8)' can be expressed in the form f(g(x)) where f(x) = z', and g(x) is…

A: Solve the following

Q: se the functions f(x) = x+ 4 and g(x) = 2 − x^3 to find g^{-1} ∘ f^{-1}

A: Given, f(x) = x+ 4g(x)=2−x3

Q: 7. Use the graph of f(x) below to sketch a graph of the transformed function. 2f(x – 3) F(x)

A: Given is a graph of the function f(x)   To Find: The graph of the function 2 f(x-3)